gcse problem solving questions tes

The resources on this page will hopefully help you teach AO2 and AO3 of the new GCSE specification - problem solving and reasoning.

This brief lesson is designed to lead students into thinking about how to solve mathematical problems. It features ideas of strategies to use, clear steps to follow and plenty of opportunities for discussion.

The PixiMaths problem solving booklets are aimed at "crossover" marks (questions that will be on both higher and foundation) so will be accessed by most students. The booklets are collated Edexcel exam questions; you may well recognise them from elsewhere. Each booklet has 70 marks worth of questions and will probably last two lessons, including time to go through answers with your students. There is one for each area of the new GCSE specification and they are designed to complement the PixiMaths year 11 SOL.

These problem solving starter packs are great to support students with problem solving skills. I've used them this year for two out of four lessons each week, then used Numeracy Ninjas as starters for the other two lessons.  When I first introduced the booklets, I encouraged my students to use scaffolds like those mentioned here , then gradually weaned them off the scaffolds. I give students some time to work independently, then time to discuss with their peers, then we go through it as a class. The levels correspond very roughly to the new GCSE grades.

Some of my favourite websites have plenty of other excellent resources to support you and your students in these assessment objectives.

@TessMaths has written some great stuff for BBC Bitesize.

There are some intersting though-provoking problems at Open Middle.

I'm sure you've seen it before, but if not, check it out now! Nrich is where it's at if your want to provide enrichment and problem solving in your lessons.

MathsBot  by @StudyMaths has everything, and if you scroll to the bottom of the homepage you'll find puzzles and problem solving too.

I may be a little biased because I love Edexcel, but these question packs are really useful.

The UKMT has a mentoring scheme that provides fantastic problem solving resources , all complete with answers.

I have only recently been shown Maths Problem Solving and it is awesome - there are links to problem solving resources for all areas of maths, as well as plenty of general problem solving too. Definitely worth exploring!

Mr Barton Maths Podcast

Long-form conversations about teaching and learning with craig barton.

TES Maths GCSE Revision Collection

Top revision picks to prepare your gcse learners for their upcoming exams.

It seems to me that the GCSE exams come round quicker every year. It feels like only five minutes since last year’s Year 11s walked out of their final exams and now the current cohort are gearing up for that final push.

Revision can be a painful time for all involved. The main problem is having to go over topics and concepts that students either did not like or did not get the first time round. There is a need to try something different, while maintaining focus and hard work at all times.

Once again, the TES Maths community is here to help.

Here is a collection of some of the very best GCSE maths revision resources I have used over the last few years, combined with some brand new materials. There’s a real mix of activities for different settings and skills, but together they should provide enough material to keep your students engaged and on track until the minute they walk into that exam hall.

Happy revising!

Craig Barton, TES Maths adviser

• Top 20 GCSE skills Enable students to identify specific points of focus for their revision with this comprehensive resource, which breaks down 20 of the most frequently-occurring topics into easy, medium and hard questions.
• Quick-fire GCSE revision Learners can use this collection of quick-mark questions to practise key skills and exam technique, especially as these are the types of questions on which they can lose easy marks.
• Going for gold problem-solving Help your students to become more confident at approaching multi-mark, unstructured questions by working through this series of ten lessons, which focus on consolidation and application.
• GCSE maths revision worksheets This detailed set of higher and foundation worksheets, complete with answers, is ideal for assessments, homework, or in-class challenges.
• Grade C revision cards for number , algebra , shape and data In this simple but effective card-based activity, the teacher models the perfect answer to questions on a number of topics in class, leaving pupils to recreate the answer for homework.
• Grade C revision starters Aimed at foundation level, these well-presented starter activities contain 20 slides covering everything from Pythagoras to angle facts and come complete with fully-worked solutions.
• Mega maths presentation With just under 100 sets of questions from a range of GCSE topics including fractions, trigonometry and area, this popular resource is ideal for last-minute revision requests from your pupils.
• Revision races Challenge students to answer as many questions as possible in this differentiated race game, which is bound to get your class buzzing with enthusiasm.
• Revision carousel Encourage pupils to work together when revising key topics with these higher-level carousel activities, containing answers and hints.
• Mr Collins’ GCSE table sheets Engage your learners by pairing them up and getting them to work through a selection of these colourful, information-packed sheets, each containing ten GCSE questions apiece.
• GCSE question prompts For a deeper learning experience, get students to devise questions and mark schemes based on given prompts. Then why not let other students give them a try?
• GCSE homework booklet Covering a wide range of topic areas, this well-structured, ten-week homework programme allows pupils to focus on practising key skills.
• Language of GCSE maths exams Don’t allow maths jargon to get in the way of your pupils understanding exactly what a question is asking them to do. Alleviate the problem with this concise vocabulary list.
• GCSE maths revision cards Whether used in the classroom or at home, this thorough and fully-editable set of 250 revision cards can be used to consolidate learning individually or in groups.
• Maths facts classroom display Reinforce key facts and formulae with these revision posters, which could also be reduced in size and turned into handy revision cards for students.

Leave a Reply

30 Problem Solving Maths Questions, Solutions & Strategies

FREE DOWNLOAD

• 10 foundation problem solving maths questions
• 10 crossover problem solving maths questions
• 10 higher problem solving maths questions
• Suggested strategies to help answer the questions
• All questions created by fully qualified expert secondary maths teachers

Unlock access to download your free resource

To receive this printable resource and regular emails with more free resources, blog posts and other Third Space updates, enter your email address and click below.

To receive this resource and regular emails with more free resources, blog posts and other Third Space updates, enter your email address and click below.

• Job Title * Job title Headteacher Deputy Head Assistant Head Head of Maths Deputy Head of Maths Trust Leader Primary SLT Other SLT Secondary Maths Teacher Primary Teacher Teaching Assistant Tutor Parent Student Other
• Name This field is for validation purposes and should be left unchanged.

You can unsubscribe at any time (each email we send will contain an easy way to unsubscribe). To find out more about how we use your data, see our privacy policy .

Raise maths attainment across your school with hundreds of flexible and easy to use GCSE maths worksheets and lessons designed by teachers for teachers.

Related worksheets

The Secondary Maths Subject Leader Toolkit

Ofsted Preparation Guide: Secondary Maths

5 strategies to manage GCSE exam anxiety poster

Ultimate Guide to GCSE Maths Revision

Do you have students who need additional support to achieve their target gcse maths grade.

There will be students in your class who require individual attention to help them succeed in their maths GCSEs. In a class of 30, it’s not always easy to provide.

Help your students feel confident with exam-style questions and the strategies they’ll need to answer them correctly with personalised online one to one tutoring from Third Space Learning

Lessons are selected to provide support where each student needs it most, and specially-trained GCSE maths tutors adapt the pitch and pace of each lesson. This ensures a personalised revision programme that raises grades and boosts confidence.

Privacy Overview

Resourceaholic

Ideas and resources for teaching secondary school mathematics

• Blog Archive

Problem Solving

• Problem Solving Booklet - Complete Mathematics
• GCSE Mathematics - 90 Problem Solving Questions - AQA (and PowerPoint collated by @EJMaths)
• Additional Mathematics Problem Solving Questions (& Teacher Guide ) - AQA
• GCSE Problem Solving  - MEI
• 55 Problems - MathsBox
• Maths problems, puzzles and ideas - Cubed Maths
• UKMT Problems PowerPoint - collated by Dan Walker
• San Gaku Problems - Dan Walker
• Support for Problem Solving  - OCR
• Badger Maths Problem Solving Samples (Years 1 - 6) - via National Stem Centre
• Daily Maths Puzzles (Key Stage 2) - Sarah Farrell
• Mathematical challenges for able pupils in Key Stages 1 and 2 - DfE
• Problem solving with EYFS, Key Stage 1 and Key Stage 2 children - DfE
• Solve My Maths
• Catriona Agg
• Maths Problem Solving
• MathsChallenge.net
• Brilliant.org
• Underground Mathematics
• Openmiddle.com
• United Kingdom Mathematics Trust
• 1001 Math Problems

Notice Regarding Political Advertisements on Our Website

Edexcel Algebra Questions by Topic

Pavinder S.

Aston university - bcs mathematics.

Maths graduate tutor extensive experience of working in schools doing GCSE Maths Interventions for small groups: boost grades

On this page you can find past paper questions separated by topic and topic tests, for both Foundation and Higher tiers. The first two sets are from past papers and the third one is a set of topic tests. Set 4 comprises the most recent past paper questions spanning from 2017 to 2021. Set 4 is the only set that comes with video solutions .

For notes, worksheets and their solutions, visit the GCSE Algebra Revision page. Full past papers and model solutions can be found on the Paper 1 , Paper 2 and Paper 3 pages.

Notation Vocabulary and Manipulation

• Algebraic Proofs (FH)
• Deriving Expressions (F)
• Deriving Expressions (FH)
• Expanding Equations (F)
• Expanding Expressions (FH)
• Factorising Equations (F)
• Factorising Expressions (FH)
• Forming Equations (F)
• Forming Equations (FH)
• Input-Output (F)
• Manipulation of Formulae (F)
• Manipulation of Formulae (FH)
• Simplifying Expressions (F)
• Simplifying Expressions (FH)
• Solving Using Indices (FH)
• Substitution (F)
• Substitution Into Equations (FH)
• Sequence of Diagrams (FH)
• Sequence of Numbers (FH)
• Sequences of Diagrams (F)
• Sequences of Numbers (F)
• Conversion Graphs (F)
• Conversion Graphs (FH)
• Coordinates in 3D (FH)
• Distance-Time Graphs (F)
• Distance-Time Graphs (FH)
• Exponential Growth and Decay (FH)
• Gradients of Straight Lines (FH)
• Graphs of Circles (FH)
• Graphs of Linear Equations (FH)
• Graphs of Quadratic Equations (FH)
• Graphs of Trigonometrical Functions (FH)
• Line Graphs (F)
• Line Graphs of Real Situations (FH)
• Transformation of Graphs (FH)
• Using y=mx+c (FH)

Solving Equations and Inequalities

• Solving Inequalities (F)
• Solving Inequalities (FH)
• Solving Linear Equations (F)
• Solving Linear Equations (FH)
• Solving Quadratic Equations (F)
• Solving Quadratic Equations (FH)
• Solving by Trial and Improvement (FH)
• Algebraic Proofs (H)
• Expanding Equations (H)
• Factorising Expressions (H)
• Forming Equations (H)
• Manipulation of Formulae (H)
• Simplifying Expressions (H)
• Solving Algebraic Fraction Equations (H)
• Solving Algebraic Fractions (H)
• Solving Using Indices (H)
• Substitution (H)
• Exponential Growth and Decay (H)
• Gradients of Straight Lines (H)
• Graphs of Circles (H)
• Graphs of Linear Equations (H)
• Graphs of Quadratic Equations (H)
• Graphs of Trigonometrical Functions (H)
• Line Graphs of Real Situations (H)
• Transformation of Graphs (H)
• Using y=mx+c (H)
• Solving Inequalities (H)
• Solving Simultaneous Equations (H)
• Expanding Expressions (F)
• Simplfying Equations (FH) 2
• Simplifying Equations (F)
• Simplifying Equations (FH) 1
• Substituting Into Equations (F)
• Substituting Into Equations (FH)
• Sequences (F)
• Sequences (FH)
• Distance-Time and Travel Graphs (F)
• Distance-Time and Travel Graphs (FH)
• Graphs of Linear Equations (F)
• Solving Simultaneous Equations (FH)
• Trial and Improvement (FH)
• Deriving Expressions (H)
• Expanding Expressions (H)
• Functions (H)
• Simplfying Equations (H) 2
• Simplifying Equations (H) 1
• Substituting Into Equations (H)
• Sequences (H)
• Graphs of Cubic Equations (H)
• Graphs of Reciprocal Equations (H)
• Transformation of Functions (H)
• Solving Linear Equations (H)
• Complex Graphs and Simultaneous Equations (F)
• Equations and Inequalities (F)
• Manipulating Expressions (F)
• Quadratic Equations and Graphs (F)
• Real-Life and Algebraic Linear Graphs (F)
• Algebra (H)
• Direct and Indirect Proportion (H)
• Direct and Inverse Proportion and Compound Measures (H)
• Graphs and Coordinate Geometry (H)
• Manipulating Expressions (H)
• Quadratic, Cubic and Other Graphs (H)
• Quadratics and Complex Graphs (H)
• Quadratics, Inequalities and Simultaneous Equations (H)

Notation, Vocabulary and Manipulation

• Inputs and Outputs (F)
• Substitution into Equations (F)
• Coordinates (F)
• Cubic and Reciprocal Graphs (F)
• Equations of Straight Lines (F)
• Graphs of Quadratic Equations (F)
• Interpreting Gradients (F)
• Simultaneous Equations (F)
• Solving Quadratic Equations(F)
• Algebraic Fractions (H)
• Algebraic Proof (H)
• Expanding Triple Brackets (H)
• Factorising Equations (H)
• Functions (Composite or Inverse) (H)
• Substitution into Equations (H)
• Geometric Progression (H)
• Circle Equations and Tangents (H)
• Coordinates (H)
• Cubic and Reciprocal Graphs (H)
• Distance-Time Graphs (H)
• Equations of Straight Lines (H)
• Exponential and Trigonometric Graphs (H)
• Interpreting Gradients (H)
• Parallel or Perpendicular Lines (H)
• Simultaneous Equations on Graphs (H)
• Translations and Reflections of Functions (H)
• Velocity-Time Graphs (H)
• Completing the Square (H)
• Inequalities (H)
• Inequalities on Graphs (H)
• Iteration (H)
• Quadratic Sequences (H)
• Simultaneous Equations (H)
• Solve by Factorising (H)
• Solving Quadratic Equations (H)

Connect with PMT Education!

• Revision Courses
• Past Papers
• Solution Banks
• University Admissions
• Numerical Reasoning
• Legal Notices

Tessellations Practice Questions

Click here for questions, click here for answers.

tessellation

GCSE Revision Cards

5-a-day Workbooks

Primary Study Cards

Privacy Policy

Terms and Conditions

Corbettmaths © 2012 – 2024

• International
• Schools directory
• Resources Jobs Schools directory News Search

AQA GCSE Combined Science Trilogy Required Practical Revision Sheets

Subject: Biology

Age range: 14-16

Resource type: Assessment and revision

Last updated

• Share through email
• Share through twitter
• Share through linkedin
• Share through facebook
• Share through pinterest

AQA GCSE required practical revision notes/sheets covering all 21 required practicals for Combined Science/Trilogy (higher tier).

Despite being worth 15% of the marks, so many students don’t allocate specific revision time to the required practicals. I designed these sheets for my own students to encourage specific revision of the practicals and have seen a great improvement in practical knowledge and the ability to answer practical-based questions.

Each sheet includes an example method and (where relevant) exam-style questions and model answers.

The model answers for the exam-style questions have been written based on previous mark schemes, but I cannot guarantee that future mark schemes will be exactly the same. The model answers are for guidance only. Students should be encouraged to use these sheets as a starting point and update/annotate them with any further information as needed.

Tes paid licence How can I reuse this?

Your rating is required to reflect your happiness.

It's good to leave some feedback.

Something went wrong, please try again later.

These are great, purchased for my younger brother who was having a major panic about his GCSE science exams. He says these are really easy to understand and the model answers are really helpful! He wishes he'd had them sooner!

TeachSecondaryScience

Thank you so much for leaving such a kind review!

Empty reply does not make any sense for the end user

Report this resource to let us know if it violates our terms and conditions. Our customer service team will review your report and will be in touch.

Not quite what you were looking for? Search by keyword to find the right resource: